On Weak Approximation of Reductive Groups over Higher Dimensional Function Fields

2025/08/13 by Li, Zhongda, Liu, Che, Pan, Haoxiang
#Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2508.09601

Abstract

Let k be a d-local field of characteristic 0, and let K be the function field of a nice curve over k. We give a defect to weak approximation for reductive groups over K using arithmetic dualities.

Citations

• Obstructions to weak approximation for reductive groups over p-adic function fields
• Weak approximation for tori over p-adic function fields

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• Obstructions to weak approximation for reductive groups over p-adic function fields
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• Weak Approximation for Isotrivial Families